A generalization of Minty's lemma and its applications to generalized mixed vector equilibrium problems

被引：1

作者：

Ceng, L. C.

Schaible, S.

Yao, J. C. ^{[1
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai, Peoples R China

[2] Univ Calif Riverside, A G Anderson Grad Sch Management, Riverside, CA 92521 USA

[3] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung, Taiwan

来源：

OPTIMIZATION | 2007年 / 56卷 / 5-6期

关键词：

generalized vector equilibrium problems; vector variational inequalities; Minty's lemma; existence theorem of soltitions;

D O I：

10.1080/02331930701617510

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this article, we introduce and study a class of generalized mixed vector equilibrium problems for multifunctions, which includes as special cases it number of generalized vector variational inequalities, generalized vector variational-like inequalities and generalized vector equilibrium problems. We First establish a new vector version of Minty's lemma, and then prove an existence theorem Of solutions for the generalized mixed vector equilibrium problems by using thiS result. Furthermore, this existence theorem is applied to obtain it new existence result of solutions for a class of generalized vector variational-like inequalities.

引用

页码：565 / 576

页数：12

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